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Find the missing number so that the equation has infinitely many solutions. \newline4x+____=4x+174x + \_\_\_\_ = 4x + 17

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Q. Find the missing number so that the equation has infinitely many solutions. \newline4x+____=4x+174x + \_\_\_\_ = 4x + 17
  1. Identify Identical Equations: When an equation has infinitely many solutions, it means that both sides of the equation are identical for all values of the variable. In this case, we want the left side of the equation to be identical to the right side.
  2. Fill in the Missing Number: The equation is 4x+____=4x+174x + \_\_\_\_ = 4x + 17. Since we want the equation to have infinitely many solutions, the blank should be filled with a number that makes the constant term on the left side equal to the constant term on the right side, which is 1717.
  3. Verify the Solution: Therefore, the missing number is 1717, because 4x+17=4x+174x + 17 = 4x + 17 is true for all values of xx.

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